0
Research Papers: Design and Analysis

Time-Dependent Electro–Magneto–Thermoelastic Stresses of a Poro-Piezo-Functionally Graded Material Hollow Sphere

[+] Author and Article Information
M. Jabbari

Associate Professor
Mechanical Engineering Department,
South Tehran Branch,
Islamic Azad University,
Tehran 443511365, Iran
e-mail: m_jabbari@azad.ac.ir

M. S. Tayebi

Mechanical Engineering Department,
West Tehran Branch,
Islamic Azad University,
Tehran 1949663311, Iran
e-mail: tayebi.m.s@gmail.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 18, 2014; final manuscript received March 5, 2016; published online April 29, 2016. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 138(5), 051201 (Apr 29, 2016) (12 pages) Paper No: PVT-14-1083; doi: 10.1115/1.4033089 History: Received May 18, 2014; Revised March 05, 2016

In this paper, analytical solution for time-dependent electro–magneto–thermoelastic stresses of a hollow sphere made of a fluid-saturated functionally graded porous piezoelectric material (FGPPM) is presented. All material properties, except Poisson's ratio, vary through the radial direction of the FGPPM spherical structure according to a simple power-law. The general form of thermal, mechanical, and electric potential boundary conditions is considered on the internal and external surfaces of the sphere, and the sphere is under constant electrical and magnetic fields. Stress–strain and strain–displacement relations are used to obtain stress–displacement equations, and then by putting stress–displacement equations in the equilibrium equation, Navier equation is acquired. The homogenous differential heat conduction equation is solved. The nonhomogenous differential Navier equation is solved for two cases. At first, creep strains are ignored and the initial electro–magneto–thermoelastic stresses are obtained. Then considering creep strains singly, the creep stress rates are obtained. Finally, time-dependent creep stress distributions at any time ti are attained.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Temperature distribution in the FGPPM hollow sphere with various β

Grahic Jump Location
Fig. 2

Radial displacement distribution in the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 3

Electric potential distribution in the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 4

Radial stress distribution in the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 5

Hoop stress distribution in the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 6

Effective stress distribution in the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 7

Radial stress rate distribution of the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 8

Hoop stress rate distribution of the FGPPM hollow sphere with various β at zero time

Grahic Jump Location
Fig. 18

Effective stress distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Grahic Jump Location
Fig. 19

Radial stress rate distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Grahic Jump Location
Fig. 20

Hoop stress rate distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Grahic Jump Location
Fig. 9

Radial creep stress redistribution of the FGPPM hollow sphere where β = −1.5

Grahic Jump Location
Fig. 10

Hoop creep stress redistribution of the FGPPM hollow sphere where β = −1.5

Grahic Jump Location
Fig. 11

Effective creep stress redistribution of the FGPPM hollow sphere where β = −1.5

Grahic Jump Location
Fig. 12

Radial creep stress redistribution of the FGPPM hollow sphere where β = 1

Grahic Jump Location
Fig. 13

Hoop creep stress redistribution of the FGPPM hollow sphere where β = 1

Grahic Jump Location
Fig. 14

Effective creep stress redistribution of the FGPP hollow sphere where β = 1

Grahic Jump Location
Fig. 15

Radial displacement distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Grahic Jump Location
Fig. 16

Radial stress distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Grahic Jump Location
Fig. 17

Hoop stress distribution of the FGPPM hollow sphere with various φb for the case β = 1 at zero time

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In